A066079 Arises in detailed black hole state counting in loop quantum gravity.

3, 8, 15, 24, 35, 63, 80, 99, 120, 143, 168, 195, 224, 255, 323, 360, 399, 440, 483, 528, 575, 624, 728, 783, 840, 899, 1023, 1088, 1155, 1224, 1295, 1368, 1443, 1520, 1599, 1680, 1763, 1848, 1935, 2024, 2115, 2208, 2303, 2499, 2600, 2703, 2808, 2915, 3024

Offset

1,1

Comments

Column 4 of TABLE I. Pell equation: area spectrum and squarefrees, p. 32 of Agullo.

Links

Table of n, a(n) for n=1..49.

Ivan Agullo, J. Fernando Barbero G., Enrique F. Borja, Jacobo Diaz-Polo, Eduardo J. S. Villaseñor, Detailed black hole state counting in loop quantum gravity, arXiv:1101.3660 [gr-qc], 2011; Phys.Rev.D82:084029, 2010.

Formula

This is A005563 (starting from the 1st term) but without such terms that have the same squarefree part as some earlier term. - Andrey Zabolotskiy, Sep 20 2021

Crossrefs

Cf. A005117, A005563, A007913.

Sequence in context: A132411 A005563 A067998 * A185079 A173569 A173570

Adjacent sequences: A066076 A066077 A066078 * A066080 A066081 A066082

Keyword

nonn

Author

Jonathan Vos Post, Jan 19 2011

Extensions

Terms a(15) and beyond from Andrey Zabolotskiy, Sep 20 2021

Status

approved